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Finding the Fourth Proportional to 705,873.50, 1,058,342.17 and 256,540.99

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Solution

The fourth proportional to 705,873.50, 1,058,342.17 and 256,540.99 is: 384,641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,873.50 : 1,058,342.17 = 256,540.99 : x
  2. Step 2: Convert to fraction form
    705,873.50/1,058,342.17 = 256,540.99/x
  3. Step 3: Cross multiply
    705,873.50x = 1,058,342.17 × 256,540.99
  4. Step 4: Simplify right side
    705,873.50x = 271,508,141,476.13
  5. Step 5: Solve for x
    x = 271,508,141,476.13/705,873.50
  6. Step 6: Final answer
    x = 384,641.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.